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Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking

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arxiv 2409.05762 v2 pith:S4E7F5HS submitted 2024-09-09 math.AP math-phmath.MP

Claudia García , Martina Magliocca , Nicolas Meunier This is my paper · ORCID
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keywords symmetrybreakinghttpsmotilitynonlinearphysrevlettspontaneoustraveling
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Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In https://doi.org/10.1103/PhysRevLett.110.078102, Blanch-Mercader and Casademunt perfomed a nonlinear analysis of the minimal model proposed by Callan and Jones https://doi.org/10.1103/PhysRevLett.100.258106 and numerically conjectured the existence of traveling solutions once that symmetry is broken. In this work, we prove analytically that conjecture by means of nonlinear bifurcation techniques.

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  1. Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion

    math.AP 2025-06 conditional novelty 7.0 of 10

    A 2D free boundary cell motility model with nonlinear diffusion yields an explicit curvature formula K2 that is claimed to determine whether the pitchfork bifurcation to traveling waves is direct or inverse.

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